Find the Equation Using Slope-Intercept Form m=8 (-7,-10)

$m = 8$ $(- 7, - 10)$

Step 1

Find the value of $b$ using the formula for the equation of a line.

Use the formula for the equation of a line to find $b$ .

$y = m x + b$

Substitute the value of $m$ into the equation.

$y = (8) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (8) \cdot (- 7) + b$

Substitute the value of $y$ into the equation.

$- 10 = (8) \cdot (- 7) + b$

Find the value of $b$ .

Rewrite the equation as $(8) \cdot (- 7) + b = - 10$ .

$(8) \cdot (- 7) + b = - 10$

Multiply $8$ by $- 7$ .

$- 56 + b = - 10$

Move all terms not containing $b$ to the right side of the equation.

Add $56$ to both sides of the equation.

$b = - 10 + 56$

Add $- 10$ and $56$ .

$b = 46$

Step 2

Now that the values of $m$ (slope) and $b$ (y-intercept) are known, substitute them into $y = m x + b$ to find the equation of the line.

$y = 8 x + 46$

Step 3